Track / Stage 4 / 149 of 340 #409 of 1964

Problem 409

AMC 12 late, AIME early

Geometry Difficulty 4.7 Find the answer

3 ( A square with an area of 24 has a rectangle inscribed in it such that one vertex of the rectangle lies on each side of the square. The sides of the rectangle are in the ratio $1: 3$ .

Find the area of the rectangle.

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

## Answer

## Problem

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.